Given numbers are 205,256,163,344,850

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 205,256,163,344,850 is 31265747200.

Find LCM of 205,256,163,344,850 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 41 x 32 x 163 x 43 x 85 = 31265747200

Therefore, the lowest common multiple of 205,256,163,344,850 is 31265747200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

205 x 256 x 163 x 344 x 850 = 2501259776000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

205 : 1, 5, 41, 205

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

163 : 1, 163

344 : 1, 2, 4, 8, 43, 86, 172, 344

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,256,163,344,850, is 1.

Now, the common factors can be found like this.

205:5x 41

256:2x 2x 2x 2x 2x 2x 2x 2

163:163

344:2x 2x 2x 43

850:2x 5x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5 = 80

Therefore, the value for common factors is 80.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2501259776000/(1x80)

LCM = 2501259776000/80

LCM = 31265747200

Thus, we can understand that the LCM of 205,256,163,344,850 is 31265747200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 770, 241, 423, 117, 577
• LCM of 109, 379, 864, 740, 928
• LCM of 913, 662, 705, 200, 704
• LCM of 259, 152, 613, 294, 669
• LCM of 748, 585, 394, 398, 168

1. What is the LCM of 205, 256, 163, 344, 850?

Answer: LCM of 205, 256, 163, 344, 850 is 31265747200.

2. How to calculate the LCM of 205, 256, 163, 344, 850?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 205, 256, 163, 344, 850.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.